Thursday, December 15, 2016 - 9:00am - 10:00am
Andre Nicolet (Aix-Marseille Université)
Our purpose is to develop a numerical tool for the study of photonic devices. The electrodynamic behavior of these systems can be efficiently characterized by their resonances but realistic materials have a strong time dispersive permittivity at optical frequencies and it therefore depends on the very frequency we are trying to compute via an eigenvalue problem.
Thursday, June 30, 2011 - 2:00pm - 2:30pm
Tuoc Phan (University of Tennessee)
Consider a nonlinear Schrodinger equation in R3 whose linear part has three or more eigenvalues satisfying some resonance conditions. Solutions which are initially small in H1 \ L1(R3) and inside a neighborhood of the first excited state family are shown to converge to either a first excited state or a ground state at time infinity. An essential part of our analysis is on the linear and nonlinear estimates near nonlinear excited
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